Effective action, magnetic excitations and quantum fluctuations in lightly doped single layer cuprates

Abstract

We consider the extended 2D $t-t^{\prime }-t^{\prime \prime }-J$ model at zero temperature. Parameters of the model corresponds to doping by holes. Using the low doping effective action we demonstrate that the system can 1) preserve the long range collinear antiferromagnetic order, 2) lead to a spin spiral state (static or dynamic), 3) lead to the phase separation instability. We show that at parameters of the effective action corresponding to the single layer cuprate La${}_{2-x}$Sr${}_x$CuO${}_4$ the spin spiral ground state is realized. We derive properties of magnetic excitations and calculate quantum fluctuations. Quantum fluctuations destroy the static spin spiral at the critical doping $x_c\approx 0.11$. This is the point of the quantum phase transition to the spin-liquid state (dynamic spin spiral). The state is still double degenerate with respect to the direction of the dynamic spiral, so this is a ``directional nematic''. The superconducting pairing exists throughout the phase diagram and is not sensitive to the quantum phase transition. We also compare the calculated neutron scattering spectra with experimental data.

12 pages, 7 Figs

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• Magnetic-field-enhanced incommensurate magnetic order in the underdoped high-temperature superconductor YBa(2)Cu(3)O(6.45)
• Magnetic field-enhanced spin freezing in YBa2Cu3O6.45 at the verge of the competition between superconductivity and charge order
• Implications of Resonant Inelastic X-ray Scattering Data for Theoretical Models of Cuprates
• Spin-stiffness of anisotropic Heisenberg model on square lattice and possible mechanism for pinning of the electronic liquid crystal direction in YBCO
• Magnetic properties of lightly doped antiferromagnetic YBa${}_2$Cu${}_3$O${}_y$
• Fermi Surface Reconstruction by Dynamic Magnetic Fluctuations
• Fermi Surface Reconstruction by Dynamic Magnetic Fluctuations and Spin-Charge Separation Near an O(3) Quantum Critical Point
• Effective field theories and spin-wave excitations in helical magnets
• Nature of the spin liquid in underdoped cuprate superconductors
• Quasielastic neutron scattering from two dimensional antiferromagnets at a finite temperature
• The origin of hour-glass magnetic dispersion in underdoped cuprate superconductors
• Separation of magnetic and superconducting behaviour in YBCO6.33 (Tc=8.4 K)
• Magnetic quantum oscillations and multiple holon pockets in underdoped YBa${}_2$Cu${}_3$O${}_{6+y}$
• Physics of $\pi$-Meson Condensation and High Temperature Cuprate Superconductors
• Casimir effect mechanism of pairing between fermions in the vicinity of a magnetic quantum critical point
• Impurity-induced magnetization in three dimensional antiferromagnet at quantum critical point